A323636 Nested square root sqrt(b(n) + sqrt(b(n-1) + ... + sqrt(b(1))...)), where b(n) = A323635(n).

1, 2, 2, 3, 3, 4, 3, 5, 3, 6, 4, 4, 5, 4, 6, 5, 5, 6, 6, 7, 4, 7, 5, 7, 6, 8, 4, 8, 5, 8, 6, 9, 5, 9, 6, 10, 5, 10, 6, 11, 5, 11, 6, 12, 6, 13, 6, 14, 7, 7, 8, 7, 9, 7, 10, 7, 11, 7, 12, 7, 13, 7, 14, 8, 8, 9, 8, 10, 8, 11, 8, 12

Offset: 1

Author

Ivan Neretin, Jan 21 2019

Keywords

• nonn
• look

Links

• Ivan Neretin, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A323635.

Programs

PARI

listsq(nn) = {my(va = vector(nn), lastsq, vs = vector(nn)); va[1] = 1; lastsq = 1; vs[1] = lastsq; for (n=2, nn, my(k = ceil(sqrt(sqrtint(lastsq)))); while (#select(x->(x==(k^2-sqrtint(lastsq))), va), k++); va[n] = k^2-sqrtint(lastsq); lastsq = k^2; vs[n] = sqrtint(lastsq);); vs;} \\ Michel Marcus, Oct 13 2020